Field Theory Handbook

Including Coordinate Systems, Differential Equations and Their Solutions

P. Moon, D. E. Spencer (Autoren)

Buch | Softcover

VIII, 236 Seiten

1988 | 2nd ed. 1988
Springer Berlin (Verlag)
978-3-540-18430-0 (ISBN)

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Let us first state exactly what this book is and what it is not. It is a compendium of equations for the physicist and the engineer working with electrostatics, magne tostatics, electric currents, electromagnetic fields, heat flow, gravitation, diffusion, optics, or acoustics. It tabulates the properties of 40 coordinate systems, states the Laplace and Helmholtz equations in each coordinate system, and gives the separation equations and their solutions. But it is not a textbook and it does not cover relativistic and quantum phenomena. The history of classical physics may be regarded as an interplay between two ideas, the concept of action-at-a-distance and the concept of a field. Newton's equation of universal gravitation, for instance, implies action-at-a-distance. The same form of equation was employed by COULOMB to express the force between charged particles. AMPERE and GAUSS extended this idea to the phenomenological action between currents. In 1867, LUDVIG LORENZ formulated electrodynamics as retarded action-at-a-distance. At almost the same time, MAXWELL presented the alternative formulation in terms of fields. In most cases, the field approach has shown itself to be the more powerful.

I. Eleven coordinate systems.- II. Transformations in the complex plane.- III. Cylindrical systems.- IV. Rotational systems.- V. The vector Helmholtz equation.- VI. Differential equations.- VII. Functions.- Appendix. Symbols.- Author Index.

Erscheint lt. Verlag	9.5.1988
Zusatzinfo	VIII, 236 p.
Verlagsort	Berlin
Sprache	englisch
Maße	170 x 244 mm
Gewicht	430 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
	Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik
	Naturwissenschaften ► Physik / Astronomie ► Hochenergiephysik / Teilchenphysik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
Schlagworte	differential equation • Diffusion • electrodynamics • Electromagnetic field • Electrostatics • Feldtheorie • Field Theory • Gravitation • Helmholtz equation • Magnetic field • Mathematical Physics • Mathematische Physik • Moon • Solution
ISBN-10	3-540-18430-9 / 3540184309
ISBN-13	978-3-540-18430-0 / 9783540184300
Zustand	Neuware